Lattice Refining LQC and the Matter Hamiltonian

Abstract

In the context of loop quantum cosmology, we parametrise the lattice refinement by a parameter, $A$, and the matter Hamiltonian by a parameter, $\delta$. We then solve the Hamiltonian constraint for both a self-adjoint, and a non-self-adjoint Hamiltonian operator. Demanding that the solutions for the wave-functions obey certain physical restrictions, we impose constraints on the two-dimensional, $(A,\delta )$, parameter space, thereby restricting the types of matter content that can be supported by a particular lattice refinement model.

15 pages, 3 figures, revtex style; amended version to match publication in Phys. Rev. D

References in corpus (2)

• Lattice refining loop quantum cosmology, anisotropic models and stability
• Lattice Refining Loop Quantum Cosmology and Inflation

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